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What is the measure of the central angle of a circle with radius 15 ft that intercepts a 10 ft arc?

Use 3.14 for π .
 

Round the answer to the hundredths place.

 Nov 8, 2018
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The ENTIRE circle's circumference is 2piR = 30 pi

the FRACTION of 360 degrees that this 10 feet encompasses is

 

10/(30pi)   x  360 = 120/pi = 120/3.14 =38.22 degrees

 

(or in Radians   10/(30pi)   x  2pi =  20/30 R = .67 R )

 Nov 8, 2018
edited by ElectricPavlov  Nov 8, 2018

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